HOMOGENIZATION AND CORRECTORS FOR THE HYPERBOLIC PROBLEMS WITH IMPERFECT INTERFACES VIA THE PERIODIC UNFOLDING METHOD

In this paper, we study the homogenization and corrector results for the hyperbolic problem in a two-component composite with epsilon-periodic connected inclusions. The condition prescribed on the interface is that a jump of the solution is proportional to the conormal derivatives via a function of order epsilon(gamma) (gamma < - 1). The main ingredient of the proof of our main theorems is the time-dependent periodic unfolding method in two-component domains. Our homogenization results recover those of the corresponding case in [Donato, Faella and Monsurro, J. Math. Pures Appl. 87 (2007), pp. 119-143]. We also derive the corresponding corrector results.